Sur une conjecture de Kottwitz au bord

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

We are interested in the intersection cohomology of the minimal
compactification of Siegel modular varieties at some places of bad reduction.
We compute the semi-simple trace of the Frobenius morphism on the fibers of the
nearby cycles of the intersection complex. We obtain a common generalization of
results of Morel and Haines and Ngo.

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